{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "premium-shield",
   "metadata": {},
   "source": [
    "# Numerical Solvers for Ordinary Differential Equations\n",
    "\n",
    "[![Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/brainpy/brainpy/blob/master/docs_version2/tutorial_toolbox/ode_numerical_solvers.ipynb)\n",
    "[![Open in Kaggle](https://kaggle.com/static/images/open-in-kaggle.svg)](https://kaggle.com/kernels/welcome?src=https://github.com/brainpy/brainpy/blob/master/docs_version2/tutorial_toolbox/ode_numerical_solvers.ipyn)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4a30ac68",
   "metadata": {},
   "source": [
    "@[Chaoming Wang](mailto:chao.brain@qq.com)\n",
    "@[Xiaoyu Chen](mailto:c-xy17@tsinghua.org.cn)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "destroyed-smooth",
   "metadata": {},
   "source": [
    "Brain modeling toolkit provided in BrainPy is focused on **differential equations**. How to solve differential equations is the essence of the neurodynamics simulation. The exact algebraic solutions are only available for low-order differential equations. For the coupled high-dimensional non-linear brain dynamical systems, we need to resort to numerical methods for solving such differential equations. \n",
    "\n",
    "This section will illustrate how to define ordinary differential quations (ODEs) and how to define the numerical integration methods for ODEs in BrainPy."
   ]
  },
  {
   "cell_type": "code",
   "id": "specialized-wyoming",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:37.821043Z",
     "start_time": "2025-10-06T05:13:32.744004Z"
    }
   },
   "source": [
    "import brainpy as bp\n",
    "import brainpy.math as bm\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "bm.set_platform('cpu')\n",
    "\n",
    "bp.__version__"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'3.0.0'"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "id": "complicated-italy",
   "metadata": {},
   "source": [
    "## How to define ODE functions?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "removed-championship",
   "metadata": {},
   "source": [
    "BrainPy provides a convenient and intuitive way to define ODE systems. For the ODEs\n",
    "\n",
    "$$\n",
    "{dx \\over dt} = f_1(x, t, y, p_1)\\\\\n",
    "{dy \\over dt} = g_1(y, t, x, p_2)\n",
    "$$\n",
    "\n",
    "we can define them in a Python function: "
   ]
  },
  {
   "cell_type": "code",
   "id": "failing-headset",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:37.829852Z",
     "start_time": "2025-10-06T05:13:37.826271Z"
    }
   },
   "source": [
    "def diff(x, y, t, p1, p2):\n",
    "    dx = f1(x, t, y, p1)\n",
    "    dy = g1(y, t, x, p2)\n",
    "    return dx, dy"
   ],
   "outputs": [],
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "id": "devoted-television",
   "metadata": {},
   "source": [
    "where `t` denotes the current time, `x` and `y` passed before `t` denote the dynamical variables, and `p1` and `p2` after `t` denote the parameters needed in this system. In the function body, the derivative `f1` and `g1` can be customized by the user's need. Finally, the corresponding derivatives `dx` and `dy` are returned in the same order as that of the variables in the function arguments.\n",
    "\n",
    "For each variabl, it can be a scalar (`var_type = bp.integrators.SCALAR_VAR`), a vector/matrix (`var_type = bp.integrators.POP_VAR`), or a system (`var_type = bp.integrators.SYSTEM_VAR`). The \"system\" means that the argument `x` denotes an array of variables. Take the above example as the demonstration again, we can redefine it as:"
   ]
  },
  {
   "cell_type": "code",
   "id": "historical-chapel",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:37.835750Z",
     "start_time": "2025-10-06T05:13:37.833230Z"
    }
   },
   "source": [
    "def diff(xy, t, p1, p2):\n",
    "    x, y = xy\n",
    "    dx = f1(x, t, y, p1)\n",
    "    dy = g1(y, t, x, p2)\n",
    "    return bm.array([dx, dy])"
   ],
   "outputs": [],
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "id": "considered-surgery",
   "metadata": {},
   "source": [
    "## How to define the numerical integration for ODEs?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "mysterious-holiday",
   "metadata": {},
   "source": [
    "After the definition of ODE functions, it is very easy to define the numerical integration for these functions. We just need to put a decorator `bp.odeint` above the ODE function. "
   ]
  },
  {
   "cell_type": "code",
   "id": "apparent-structure",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:37.842972Z",
     "start_time": "2025-10-06T05:13:37.839115Z"
    }
   },
   "source": [
    "@bp.odeint\n",
    "def diff(x, y, t, p1, p2):\n",
    "    dx = f1(x, t, y, p1)\n",
    "    dy = g1(y, t, x, p2)\n",
    "    return dx, dy"
   ],
   "outputs": [],
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "id": "bb3594ad",
   "metadata": {},
   "source": [
    "After wrapping it by ``bp.odeint``, the function becomes an instance of ``ODEintegrator``."
   ]
  },
  {
   "cell_type": "code",
   "id": "d81ff42a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:37.853842Z",
     "start_time": "2025-10-06T05:13:37.849313Z"
    }
   },
   "source": [
    "isinstance(diff, bp.ode.ODEIntegrator)"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 5
  },
  {
   "cell_type": "markdown",
   "id": "meaning-print",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-03-23T15:04:17.122194Z",
     "start_time": "2021-03-23T15:04:15.983197Z"
    }
   },
   "source": [
    "`bp.odeint` receives several arguments:\n",
    "\n",
    "- **\"method\"**: A string, used to specify the numerical methods to integrate the ODE functions. The default method is [Euler](../apis/integrators/generated/brainpy.integrators.ode.explicit_rk.Euler.rst)."
   ]
  },
  {
   "cell_type": "code",
   "id": "3c0c8556",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:37.862260Z",
     "start_time": "2025-10-06T05:13:37.858259Z"
    }
   },
   "source": [
    "diff"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<brainpy.integrators.ode.explicit_rk.Euler at 0x18829729850>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 6
  },
  {
   "cell_type": "markdown",
   "id": "aa711731",
   "metadata": {},
   "source": [
    "- **\"dt\"**: A float, used to set the default numerical precision. The default \"dt\" is 0.1. "
   ]
  },
  {
   "cell_type": "code",
   "id": "feb87359",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:37.872640Z",
     "start_time": "2025-10-06T05:13:37.868293Z"
    }
   },
   "source": [
    "diff.dt"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.1"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 7
  },
  {
   "cell_type": "markdown",
   "id": "83c33bb9",
   "metadata": {},
   "source": [
    "- **\"show_code\"**: bool, to indicate whether to show the numerical integration code. Let's take [Euler method](../apis/integrators/generated/brainpy.integrators.ode.explicit_rk.Euler.rst) and [RK4 method](../apis/integrators/generated/brainpy.integrators.ode.explicit_rk.RK4.rst) as the illustrated examples."
   ]
  },
  {
   "cell_type": "code",
   "id": "3a1c022c",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:37.881832Z",
     "start_time": "2025-10-06T05:13:37.875648Z"
    }
   },
   "source": [
    "@bp.odeint(method='euler', show_code=True, dt=0.01)\n",
    "def diff(x, y, t, p1, p2):\n",
    "    dx = f1(x, t, y, p1)\n",
    "    dy = g1(y, t, x, p2)\n",
    "    return dx, dy\n",
    "\n",
    "diff"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "def brainpy_itg_of_ode1_diff(x, y, t, p1, p2, dt=0.01):\n",
      "  dx_k1, dy_k1 = f(x, y, t, p1, p2)\n",
      "  x_new = x + dx_k1 * dt * 1\n",
      "  y_new = y + dy_k1 * dt * 1\n",
      "  return x_new, y_new\n",
      "\n",
      "{'f': <function diff at 0x000001882971E660>}\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<brainpy.integrators.ode.explicit_rk.Euler at 0x1882972a870>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 8
  },
  {
   "cell_type": "code",
   "id": "591cbdc8",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:37.891865Z",
     "start_time": "2025-10-06T05:13:37.886527Z"
    }
   },
   "source": [
    "@bp.odeint(method='rk4', show_code=True, dt=0.1)\n",
    "def diff(x, y, t, p1, p2):\n",
    "    dx = f1(x, t, y, p1)\n",
    "    dy = g1(y, t, x, p2)\n",
    "    return dx, dy\n",
    "\n",
    "diff"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "def brainpy_itg_of_ode2_diff(x, y, t, p1, p2, dt=0.1):\n",
      "  dx_k1, dy_k1 = f(x, y, t, p1, p2)\n",
      "  k2_x_arg = x + dt * dx_k1 * 0.5\n",
      "  k2_y_arg = y + dt * dy_k1 * 0.5\n",
      "  k2_t_arg = t + dt * 0.5\n",
      "  dx_k2, dy_k2 = f(k2_x_arg, k2_y_arg, k2_t_arg, p1, p2)\n",
      "  k3_x_arg = x + dt * dx_k2 * 0.5\n",
      "  k3_y_arg = y + dt * dy_k2 * 0.5\n",
      "  k3_t_arg = t + dt * 0.5\n",
      "  dx_k3, dy_k3 = f(k3_x_arg, k3_y_arg, k3_t_arg, p1, p2)\n",
      "  k4_x_arg = x + dt * dx_k3\n",
      "  k4_y_arg = y + dt * dy_k3\n",
      "  k4_t_arg = t + dt\n",
      "  dx_k4, dy_k4 = f(k4_x_arg, k4_y_arg, k4_t_arg, p1, p2)\n",
      "  x_new = x + dx_k1 * dt * 1/6 + dx_k2 * dt * 1/3 + dx_k3 * dt * 1/3 + dx_k4 * dt * 1/6\n",
      "  y_new = y + dy_k1 * dt * 1/6 + dy_k2 * dt * 1/3 + dy_k3 * dt * 1/3 + dy_k4 * dt * 1/6\n",
      "  return x_new, y_new\n",
      "\n",
      "{'f': <function diff at 0x000001882971E2A0>}\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<brainpy.integrators.ode.explicit_rk.RK4 at 0x1882972aff0>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 9
  },
  {
   "cell_type": "markdown",
   "id": "717bf476",
   "metadata": {},
   "source": [
    "## Two Examples"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "chubby-timing",
   "metadata": {},
   "source": [
    "### Example 1: FitzHugh–Nagumo model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "christian-receipt",
   "metadata": {},
   "source": [
    "Now, let's take the well known [FitzHugh–Nagumo model](https://en.wikipedia.org/wiki/FitzHugh%E2%80%93Nagumo_model) as an exmaple to illustrate how to define ODE solvers for brain modeling. The FitzHugh–Nagumo model (FHN) model has two dynamical variables, which are governed by the following equations:\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "\\tau {\\dot  {w}}&=v+a-bw\\\\\n",
    "{\\dot {v}} &=v-{\\frac {v^{3}}{3}}-w+I_{\\rm {ext}}\n",
    "\\end{split}\n",
    "$$\n",
    "\n",
    "For this FHN model, we can code it in BrainPy like this:"
   ]
  },
  {
   "cell_type": "code",
   "id": "saved-participation",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:37.900390Z",
     "start_time": "2025-10-06T05:13:37.896243Z"
    }
   },
   "source": [
    "@bp.odeint(dt=0.01)\n",
    "def integral(V, w, t, Iext, a, b, tau):\n",
    "    dw = (V + a - b * w) / tau\n",
    "    dV = V - V * V * V / 3 - w + Iext\n",
    "    return dV, dw"
   ],
   "outputs": [],
   "execution_count": 10
  },
  {
   "cell_type": "markdown",
   "id": "freelance-carpet",
   "metadata": {},
   "source": [
    "After defining the numerical solver, the solution of the ODE system in the given times can be easily solved. For example, for the given parameters,"
   ]
  },
  {
   "cell_type": "code",
   "id": "annual-wrestling",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:37.907631Z",
     "start_time": "2025-10-06T05:13:37.904889Z"
    }
   },
   "source": [
    "a = 0.7;   b = 0.8;   tau = 12.5;   Iext = 1."
   ],
   "outputs": [],
   "execution_count": 11
  },
  {
   "cell_type": "markdown",
   "id": "competitive-transition",
   "metadata": {},
   "source": [
    "the solution of the FHN model between 0 and 100 ms can be approximated by "
   ]
  },
  {
   "cell_type": "code",
   "id": "dated-sunset",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:39.467854Z",
     "start_time": "2025-10-06T05:13:37.911956Z"
    }
   },
   "source": [
    "jit_integral = bm.jit(integral)\n",
    "\n",
    "hist_times = bm.arange(0, 100, 0.01)\n",
    "hist_V = []\n",
    "V, w = 0., 0.\n",
    "for t in hist_times:\n",
    "    V, w = jit_integral(V, w, t, Iext, a, b, tau)\n",
    "    hist_V.append(V)\n",
    "\n",
    "plt.plot(hist_times, hist_V)\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 12
  },
  {
   "cell_type": "markdown",
   "id": "322ba58a0fbedcd0",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "This manual loop in Python code is usually slow. In BrainPy, we provide a structural runner for integrators: ``brainpy.integrators.IntegratorRunner``, which can benefit from the [JIT compilation](../tutorial_basics/jit_compilation.ipynb)."
   ]
  },
  {
   "cell_type": "code",
   "id": "81a62ecef07ed7d8",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:43.568086Z",
     "start_time": "2025-10-06T05:13:42.796325Z"
    }
   },
   "source": [
    "runner = bp.IntegratorRunner(\n",
    "    integral,\n",
    "    monitors=['V'],\n",
    "    inits=dict(V=0., w=0.),\n",
    "    dt=0.01\n",
    ")\n",
    "runner.run(100., args=dict(a=a, b=b, tau=tau, Iext=Iext))\n",
    "\n",
    "plt.plot(runner.mon.ts, runner.mon.V)\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "  0%|          | 0/10000 [00:00<?, ?it/s]"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "7c7dda6170a64d2ca1951ab9184de451"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 13
  },
  {
   "cell_type": "markdown",
   "id": "acute-prototype",
   "metadata": {},
   "source": [
    "### Example 2: Hodgkin–Huxley model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "whole-mother",
   "metadata": {},
   "source": [
    "Another more complex example is the classical [Hodgkin–Huxley neuron model](https://en.wikipedia.org/wiki/Hodgkin%E2%80%93Huxley_model). In HH model, four dynamical variables (`V, m, n, h`) are used for modeling the initiation and propagation of the action potential. Specifically, they are governed by the following equations:\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "C_{m} \\frac{d V}{d t} &=-\\bar{g}_{\\mathrm{K}} n^{4}\\left(V-V_{K}\\right)- \\bar{g}_{\\mathrm{Na}} m^{3} h\\left(V-V_{N a}\\right)-\\bar{g}_{l}\\left(V-V_{l}\\right)+I_{s y n} \\\\\n",
    "\\frac{d m}{d t} &=\\alpha_{m}(V)(1-m)-\\beta_{m}(V) m \\\\\n",
    "\\frac{d h}{d t} &=\\alpha_{h}(V)(1-h)-\\beta_{h}(V) h \\\\\n",
    "\\frac{d n}{d t} &=\\alpha_{n}(V)(1-n)-\\beta_{n}(V) n\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "In BrainPy, such dynamical system can be coded as:"
   ]
  },
  {
   "cell_type": "code",
   "id": "sexual-butler",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:43.592895Z",
     "start_time": "2025-10-06T05:13:43.586608Z"
    }
   },
   "source": [
    "@bp.odeint(method='rk4', dt=0.01)\n",
    "def integral(V, m, h, n, t, Iext, gNa, ENa, gK, EK, gL, EL, C):\n",
    "    alpha = 0.1 * (V + 40) / (1 - bm.exp(-(V + 40) / 10))\n",
    "    beta = 4.0 * bm.exp(-(V + 65) / 18)\n",
    "    dmdt = alpha * (1 - m) - beta * m\n",
    "\n",
    "    alpha = 0.07 * bm.exp(-(V + 65) / 20.)\n",
    "    beta = 1 / (1 + bm.exp(-(V + 35) / 10))\n",
    "    dhdt = alpha * (1 - h) - beta * h\n",
    "\n",
    "    alpha = 0.01 * (V + 55) / (1 - bm.exp(-(V + 55) / 10))\n",
    "    beta = 0.125 * bm.exp(-(V + 65) / 80)\n",
    "    dndt = alpha * (1 - n) - beta * n\n",
    "\n",
    "    I_Na = (gNa * m ** 3.0 * h) * (V - ENa)\n",
    "    I_K = (gK * n ** 4.0) * (V - EK)\n",
    "    I_leak = gL * (V - EL)\n",
    "    dVdt = (- I_Na - I_K - I_leak + Iext) / C\n",
    "\n",
    "    return dVdt, dmdt, dhdt, dndt"
   ],
   "outputs": [],
   "execution_count": 14
  },
  {
   "cell_type": "markdown",
   "id": "subjective-formation",
   "metadata": {},
   "source": [
    "Same as the FHN model, we can also integrate the HH model in the given parameters and time interval:"
   ]
  },
  {
   "cell_type": "code",
   "id": "worthy-restriction",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:43.650467Z",
     "start_time": "2025-10-06T05:13:43.646233Z"
    }
   },
   "source": [
    "Iext = 10.;   ENa = 50.;   EK = -77.;   EL = -54.387\n",
    "C = 1.0;      gNa = 120.;  gK = 36.;    gL = 0.03"
   ],
   "outputs": [],
   "execution_count": 15
  },
  {
   "cell_type": "code",
   "id": "782ff3ca4cd7d6f2",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:44.668571Z",
     "start_time": "2025-10-06T05:13:43.681167Z"
    }
   },
   "source": [
    "runner = bp.IntegratorRunner(\n",
    "    integral,\n",
    "    monitors=list('Vmhn'),\n",
    "    inits=[0., 0., 0., 0.],\n",
    "    dt=0.01\n",
    ")\n",
    "runner.run(100., args=dict(Iext=Iext, gNa=gNa, ENa=ENa, gK=gK, EK=EK, gL=gL, EL=EL, C=C),)\n",
    "\n",
    "plt.subplot(211)\n",
    "plt.plot(runner.mon.ts, runner.mon.V, label='V')\n",
    "plt.legend()\n",
    "plt.subplot(212)\n",
    "plt.plot(runner.mon.ts, runner.mon.m, label='m')\n",
    "plt.plot(runner.mon.ts, runner.mon.h, label='h')\n",
    "plt.plot(runner.mon.ts, runner.mon.n, label='n')\n",
    "plt.legend()\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "  0%|          | 0/10000 [00:00<?, ?it/s]"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "4340ade9dab34a36956fbb67bde55edf"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 16
  },
  {
   "cell_type": "markdown",
   "id": "f413af37",
   "metadata": {},
   "source": [
    "## Provided ODE Numerical Solvers"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b3152f56",
   "metadata": {},
   "source": [
    "`BrainPy` provides several types of numerical methods for ODEs, including explicit Runge-Kutta methods, adaptive Runge-Kutta methods, and Exponential Euler methods."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe620221",
   "metadata": {},
   "source": [
    "### 1. Explicit Runge-Kutta (RK) methods for ODEs"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cedd568a",
   "metadata": {},
   "source": [
    "The first category of ODE numerical integration support is the [explicit Runge-Kutta (RK) methods](../apis/integrators/ode_explicit_rk.rst). RK methods are a huge family of numerical methods with a wide variety of trade-offs: efficiency, accuracy, stability, etc. The supported RK methods are listed in the following table:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a4b172ea",
   "metadata": {},
   "source": [
    "| Methods                                                 | Keywords    |\n",
    "|-----------------------------------------------------|-------------|\n",
    "| [Euler](../apis/auto/generated/brainpy.integrators.ode.Euler.rst) | euler       |\n",
    "| [Midpoint](../apis/auto/generated/brainpy.integrators.ode.MidPoint.rst) | midpoint    |\n",
    "| [Heun's second-order method](../apis/auto/generated/brainpy.integrators.ode.Heun2.rst) | heun2       |\n",
    "| [Ralston's second-order method](../apis/auto/generated/brainpy.integrators.ode.Ralston2.rst) | ralston2    |\n",
    "| [RK2](../apis/auto/generated/brainpy.integrators.ode.RK2.rst)| rk2         |\n",
    "| [RK3](../apis/auto/generated/brainpy.integrators.ode.RK3.rst) | rk3         |\n",
    "| [RK4](../apis/auto/generated/brainpy.integrators.ode.RK4.rst) | rk4         |\n",
    "| [Heun's third-order method](../apis/auto/generated/brainpy.integrators.ode.Heun3.rst) | heun3       |\n",
    "| [Ralston's third-order method](../apis/auto/generated/brainpy.integrators.ode.Ralston3.rst) | ralston3    |\n",
    "| [Third-order Strong Stability Preserving Runge-Kutta](../apis/auto/generated/brainpy.integrators.ode.SSPRK3.rst) | ssprk3      |\n",
    "| [Ralston's fourth-order method](../apis/auto/generated/brainpy.integrators.ode.Ralston4.rst) | ralston4    |\n",
    "| [Runge-Kutta 3/8-rule fourth-order method](../apis/auto/generated/brainpy.integrators.ode.RK4Rule38.rst)| rk4_38rule |"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d3e6aed5",
   "metadata": {},
   "source": [
    "Users can utilize these methods by specifying the `method` option in `brainpy.odeint()` with their corresponding keyword. For example:"
   ]
  },
  {
   "cell_type": "code",
   "id": "bbb8d98f",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:44.731629Z",
     "start_time": "2025-10-06T05:13:44.726580Z"
    }
   },
   "source": [
    "@bp.odeint(method='rk4')\n",
    "def int_v(v, t, p):\n",
    "    # do something\n",
    "    return v\n",
    "\n",
    "int_v"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<brainpy.integrators.ode.explicit_rk.RK4 at 0x1883a0ad160>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 17
  },
  {
   "cell_type": "markdown",
   "id": "98a65b7e",
   "metadata": {},
   "source": [
    "Or, you can directly instance your favorite integrator:"
   ]
  },
  {
   "cell_type": "code",
   "id": "ff1d8492",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:44.774497Z",
     "start_time": "2025-10-06T05:13:44.769130Z"
    }
   },
   "source": [
    "@bp.ode.RK4\n",
    "def int_v(v, t, p):\n",
    "    # do something\n",
    "    return v\n",
    "\n",
    "int_v"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<brainpy.integrators.ode.explicit_rk.RK4 at 0x18836e437a0>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 18
  },
  {
   "cell_type": "code",
   "id": "1288b7a9",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:44.799731Z",
     "start_time": "2025-10-06T05:13:44.793859Z"
    }
   },
   "source": [
    "def derivative(v, t, p):\n",
    "    # do something\n",
    "    return v\n",
    "\n",
    "int_v = bp.ode.RK4(derivative, dt=0.01)\n",
    "int_v"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<brainpy.integrators.ode.explicit_rk.RK4 at 0x1883a08d910>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 19
  },
  {
   "cell_type": "markdown",
   "id": "a2315e6c",
   "metadata": {},
   "source": [
    "### 2. Adaptive Runge-Kutta (RK) methods for ODEs"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "39b0bba7",
   "metadata": {},
   "source": [
    "The second category of ODE numerical support is the [adaptive RK methods](../apis/integrators/ode_adaptive_rk.rst). What's different from the explicit RK methods is that adaptive methods are designed to produce an estimate of the local truncation error in a single Runge-Kutta step, then such error can be used to adaptively control the numerical step size. Specifically, if $error > tol$, then replace $dt$ with $dt_{new}$ and repeat the step. Therefore, adaptive RK methods allow a varied step size. In BrainPy, the following adaptive RK methods are provided in BrainPy:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb6c3be1",
   "metadata": {},
   "source": [
    "| Methods                   | keywords    |\n",
    "|---------------------------|-------------|\n",
    "| [Runge–Kutta–Fehlberg 4(5)](../apis/auto/generated/brainpy.integrators.ode.RKF45.rst) | rkf45       |\n",
    "| [Runge–Kutta–Fehlberg 1(2)](../apis/auto/generated/brainpy.integrators.ode.RKF12.rst) | rkf12       |\n",
    "| [Dormand–Prince method](../apis/auto/generated/brainpy.integrators.ode.DormandPrince.rst) | rkdp        |\n",
    "| [Cash–Karp method](../apis/auto/generated/brainpy.integrators.ode.CashKarp.rst) | ck          |\n",
    "| [Bogacki–Shampine method](../apis/auto/generated/brainpy.integrators.ode.BogackiShampine.rst) | bs          |\n",
    "| [Heun–Euler method](../apis/auto/generated/brainpy.integrators.ode.HeunEuler.rst) | heun_euler |"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8a5e76e7",
   "metadata": {},
   "source": [
    "In default, the above methods are not adaptive, unless users provide a keyword `adaptive=True` in `brainpy.odeint()`. When users use the adaptive RK methods for numerical integration, the instantaneously adjusted stepsize `dt` will be appended in the functional arguments. Moreover, the tolerance `tol` for stepsize adjustment can also be modified. Let's take the Lorenz system as the example:"
   ]
  },
  {
   "cell_type": "code",
   "id": "30223bbe",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:13:44.820147Z",
     "start_time": "2025-10-06T05:13:44.814803Z"
    }
   },
   "source": [
    "# adaptively adjust step-size\n",
    "\n",
    "@bm.jit\n",
    "@bp.odeint(method='rkf45', \n",
    "           adaptive=True, # active the \"adaptive\" option\n",
    "           tol=0.001) # set the tolerance\n",
    "def lorenz(x, y, z, t, sigma, beta, rho):\n",
    "    dx = sigma * (y - x)\n",
    "    dy = x * (rho - z) - y\n",
    "    dz = x * y - beta * z\n",
    "    return dx, dy, dz"
   ],
   "outputs": [],
   "execution_count": 20
  },
  {
   "cell_type": "code",
   "id": "d1925db5",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:14:16.452345Z",
     "start_time": "2025-10-06T05:14:12.895456Z"
    }
   },
   "source": [
    "times = bm.arange(0, 100, 0.01)\n",
    "hist_x, hist_y, hist_z, hist_dt = [], [], [], []\n",
    "x, y, z, dt = bm.array([1]), bm.array([1]), bm.array([1]), 0.05\n",
    "for t in times:\n",
    "    # should provide one more argument \"dt\" when using the adaptive rk method\n",
    "    x, y, z, dt = lorenz(x, y, z, t, sigma=10, beta=8/3, rho=28, dt=dt)  \n",
    "    hist_x.append(x)\n",
    "    hist_y.append(y)\n",
    "    hist_z.append(z)\n",
    "    hist_dt.append(dt)\n",
    "hist_x = bm.array(hist_x).flatten()\n",
    "hist_y = bm.array(hist_y).flatten()\n",
    "hist_z = bm.array(hist_z).flatten()\n",
    "hist_dt = bm.array(hist_dt)"
   ],
   "outputs": [],
   "execution_count": 22
  },
  {
   "cell_type": "code",
   "id": "c01ead09",
   "metadata": {
    "scrolled": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T05:14:19.539691Z",
     "start_time": "2025-10-06T05:14:19.374257Z"
    }
   },
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.subplot(projection='3d')\n",
    "plt.plot(hist_x, hist_y, hist_z)\n",
    "ax.set_xlabel('x')\n",
    "ax.set_xlabel('y')\n",
    "ax.set_xlabel('z')\n",
    "\n",
    "fig = plt.figure()\n",
    "plt.plot(hist_dt[:100])\n",
    "plt.xlabel('Step No.')\n",
    "plt.ylabel('Adaptive dt')\n",
    "plt.show()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 23
  },
  {
   "cell_type": "markdown",
   "id": "218162c4",
   "metadata": {},
   "source": [
    "### 3. Exponential Euler methods for ODEs"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c58c7d82",
   "metadata": {},
   "source": [
    "Finally, BrainPy provides Exponential integrators for ODEs. For you ODE systems, we highly recommend you to use Exponential Euler methods. Exponential Euler method provided in BrainPy uses automatic differentiation to find linear part."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20692566",
   "metadata": {},
   "source": [
    "| Methods           | keywords          |\n",
    "|-------------------|-------------------|\n",
    "| [Exponential Euler](../apis/auto/generated/brainpy.integrators.ode.ExponentialEuler.rst) | exp_euler         |"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "34ce88db",
   "metadata": {},
   "source": [
    "Let's take a linear system as the theoretical demonstration,\n",
    "\n",
    "$$\n",
    "{dy \\over dt} = A - By\n",
    "$$\n",
    "\n",
    "the exponential Euler schema is given by:\n",
    "\n",
    "$$\n",
    "y(t+dt) = y(t) e^{-B*dt} + {A \\over B}(1 - e^{-B*dt})\n",
    "$$\n",
    "\n",
    "As you can see, for such linear systems, the exponential Euler schema is nearly the exact solution.\n",
    "\n",
    "However, using Exponential Euler method requires us to write each derivative function separately. Otherwise, the automatic differentiation will lead to wrong results.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f00d6f9c",
   "metadata": {},
   "source": [
    "Interestingly, the computational expensive neuron model --- Hodgkin–Huxley model --- is a linear-like ODE system. You will find that by using the Exponential Euler method, the numerical step can be greatly enlarged to save the computation time."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a577345",
   "metadata": {},
   "source": [
    "$$\n",
    "\\begin{aligned}\n",
    "C_{m}{\\frac {d V}{dt}}&= -\\left[{\\bar {g}}_{\\text{K}}n^{4} + {\\bar {g}}_{\\text{Na}}m^{3}h + {\\bar {g}}_{l} \\right] V  +{\\bar {g}}_{\\text{K}}n^{4} V_{K} + {\\bar {g}}_{\\text{Na}}m^{3}h V_{Na} + {\\bar {g}}_{l} V_{l} + I_{syn} \\\\\n",
    "{\\frac {dm}{dt}} &= \\left[-\\alpha _{m}(V)-\\beta _{m}(V)\\right]m + \\alpha _{m}(V) \\\\\n",
    "{\\frac {dh}{dt}} &= \\left[-\\alpha _{h}(V)-\\beta _{h}(V)\\right]h + \\alpha _{h}(V) \\\\\n",
    "{\\frac {dn}{dt}} &= \\left[-\\alpha _{n}(V)-\\beta _{n}(V)\\right]n + \\alpha _{n}(V) \\\\\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "id": "a960ff67",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:14:23.546295Z",
     "start_time": "2025-10-06T05:14:23.543202Z"
    }
   },
   "source": [
    "Iext=10.;   ENa=50.;   EK=-77.;   EL=-54.387\n",
    "C=1.0;      gNa=120.;  gK=36.;    gL=0.03"
   ],
   "outputs": [],
   "execution_count": 24
  },
  {
   "cell_type": "code",
   "id": "2f72d2604427b722",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T05:14:24.418571Z",
     "start_time": "2025-10-06T05:14:24.414265Z"
    }
   },
   "source": [
    "def dm(m, t, V):\n",
    "    alpha = 0.1 * (V + 40) / (1 - bm.exp(-(V + 40) / 10))\n",
    "    beta = 4.0 * bm.exp(-(V + 65) / 18)\n",
    "    dmdt = alpha * (1 - m) - beta * m\n",
    "    return dmdt"
   ],
   "outputs": [],
   "execution_count": 25
  },
  {
   "cell_type": "code",
   "id": "5ba6697cd0eb129c",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T05:14:24.784663Z",
     "start_time": "2025-10-06T05:14:24.780502Z"
    }
   },
   "source": [
    "def dh(h, t, V):\n",
    "    alpha = 0.07 * bm.exp(-(V + 65) / 20.)\n",
    "    beta = 1 / (1 + bm.exp(-(V + 35) / 10))\n",
    "    dhdt = alpha * (1 - h) - beta * h\n",
    "    return dhdt"
   ],
   "outputs": [],
   "execution_count": 26
  },
  {
   "cell_type": "code",
   "id": "3ec55a26229536d",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T05:14:25.156036Z",
     "start_time": "2025-10-06T05:14:25.151595Z"
    }
   },
   "source": [
    "def dn(n, t, V):\n",
    "    alpha = 0.01 * (V + 55) / (1 - bm.exp(-(V + 55) / 10))\n",
    "    beta = 0.125 * bm.exp(-(V + 65) / 80)\n",
    "    dndt = alpha * (1 - n) - beta * n\n",
    "    return dndt"
   ],
   "outputs": [],
   "execution_count": 27
  },
  {
   "cell_type": "code",
   "id": "c1951430",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:14:25.485562Z",
     "start_time": "2025-10-06T05:14:25.481528Z"
    }
   },
   "source": [
    "def dV(V, t, m, h, n, Iext):\n",
    "    I_Na = (gNa * m ** 3.0 * h) * (V - ENa)\n",
    "    I_K = (gK * n ** 4.0) * (V - EK)\n",
    "    I_leak = gL * (V - EL)\n",
    "    dVdt = (- I_Na - I_K - I_leak + Iext) / C\n",
    "    return dVdt"
   ],
   "outputs": [],
   "execution_count": 28
  },
  {
   "cell_type": "markdown",
   "id": "c6a01d4699e7eb38",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "Although we define HH differential equations as separable functions, relying on [brainpy.JointEq](./joint_equations.ipynb), we can numerically integrate these equations jointly."
   ]
  },
  {
   "cell_type": "code",
   "id": "bc0c43017aa02bbe",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T05:14:26.439725Z",
     "start_time": "2025-10-06T05:14:26.435687Z"
    }
   },
   "source": [
    "hh_derivative = bp.JointEq([dV, dm, dh, dn])"
   ],
   "outputs": [],
   "execution_count": 29
  },
  {
   "cell_type": "code",
   "id": "0d460dbd",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:14:27.160224Z",
     "start_time": "2025-10-06T05:14:27.155360Z"
    }
   },
   "source": [
    "def run(method, Iext=10., dt=0.1):\n",
    "    integral = bp.odeint(hh_derivative, method=method)\n",
    "\n",
    "    runner = bp.IntegratorRunner(\n",
    "        integral,\n",
    "        monitors=list('Vmhn'),\n",
    "        inits=[0., 0., 0., 0.],\n",
    "        args=dict(Iext=Iext),\n",
    "        dt=dt\n",
    "    )\n",
    "    runner.run(100.)\n",
    "\n",
    "    plt.subplot(211)\n",
    "    plt.plot(runner.mon.ts, runner.mon.V, label='V')\n",
    "    plt.legend()\n",
    "    plt.subplot(212)\n",
    "    plt.plot(runner.mon.ts, runner.mon.m, label='m')\n",
    "    plt.plot(runner.mon.ts, runner.mon.h, label='h')\n",
    "    plt.plot(runner.mon.ts, runner.mon.n, label='n')\n",
    "    plt.legend()\n",
    "    plt.show()"
   ],
   "outputs": [],
   "execution_count": 30
  },
  {
   "cell_type": "markdown",
   "id": "086d7afd",
   "metadata": {},
   "source": [
    "**Euler Method**: not able to complete the integral when the time step is a bit larger"
   ]
  },
  {
   "cell_type": "code",
   "id": "e19de553",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:14:29.446545Z",
     "start_time": "2025-10-06T05:14:29.026447Z"
    }
   },
   "source": [
    "run('euler', Iext=10, dt=0.02)"
   ],
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\codes\\projects\\BrainPy\\brainpy\\version2\\integrators\\runner.py:197: UserWarning: Set \"args\" in `IntegratorRunner.run()` function, instead of __init__ function. Will be removed since 2.4.0\n",
      "  warnings.warn('Set \"args\" in `IntegratorRunner.run()` function, instead of __init__ function. '\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "  0%|          | 0/5000 [00:00<?, ?it/s]"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "16dcd7d82ce6432592fa1442297f75f0"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 31
  },
  {
   "cell_type": "code",
   "id": "a7836865",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:14:32.820676Z",
     "start_time": "2025-10-06T05:14:32.529615Z"
    }
   },
   "source": [
    "run('euler', Iext=10, dt=0.1)"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "e337adf3a82e4b8cb3d0d62b83d75276"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 32
  },
  {
   "cell_type": "markdown",
   "id": "56a2eec1",
   "metadata": {},
   "source": [
    "**RK4 Method**: better than the Euler method, but still requires the times step to be small"
   ]
  },
  {
   "cell_type": "code",
   "id": "7311467a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:14:33.813442Z",
     "start_time": "2025-10-06T05:14:33.445475Z"
    }
   },
   "source": [
    "run('rk4', Iext=10, dt=0.1)"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "40f750f166d1434589bc3123e6ee9184"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 33
  },
  {
   "cell_type": "code",
   "id": "c9097ebe",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:14:35.165678Z",
     "start_time": "2025-10-06T05:14:34.725082Z"
    }
   },
   "source": [
    "run('rk4', Iext=10, dt=0.2)"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "  0%|          | 0/500 [00:00<?, ?it/s]"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "f5078fbe2c16484db828cc61837b4c30"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 34
  },
  {
   "cell_type": "markdown",
   "id": "7cf17718",
   "metadata": {},
   "source": [
    "**Exponential Euler Method**: allows larger time step and generates accurate results"
   ]
  },
  {
   "cell_type": "code",
   "id": "5a700f2021e07bda",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T05:14:36.243071Z",
     "start_time": "2025-10-06T05:14:35.987508Z"
    }
   },
   "source": [
    "run('exp_euler', Iext=10, dt=0.2)"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "  0%|          | 0/500 [00:00<?, ?it/s]"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "7a377beed3b84870a1e62b419827cee9"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 35
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": "",
   "id": "6de53eb427099f47"
  }
 ],
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  "hide_input": false,
  "jupytext": {
   "encoding": "# -*- coding: utf-8 -*-"
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   "language": "python",
   "name": "python3"
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   "hotkeys": {
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   "labels_anchors": false,
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   "sideBar": true,
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   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
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